Yukawa Unification in Heterotic String Theory

Understand

We analyze Yukawa unification in the the context of $E_8\times E_8$ heterotic Calabi-Yau models which rely on breaking to a GUT theory via a non-flat gauge bundle and subsequent Wilson line breaking to the standard model.

• Our focus is on underlying GUT theories with gauge group $SU(5)$ or $SO(10)$.
• We provide a detailed analysis of the fact that, in contrast to traditional field theory GUTs, the underlying GUT symmetry of these models does not enforce Yukawa unification.
• Using this formalism, we present various scenarios where Yukawa unification can occur as a consequence of additional symmetries.